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Finding the Fourth Proportional to 13,022, 19,534.08 and 3,788

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Solution

The fourth proportional to 13,022, 19,534.08 and 3,788 is: 5,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022 : 19,534.08 = 3,788 : x
  2. Step 2: Convert to fraction form
    13,022/19,534.08 = 3,788/x
  3. Step 3: Cross multiply
    13,022x = 19,534.08 × 3,788
  4. Step 4: Simplify right side
    13,022x = 73,995,095.04
  5. Step 5: Solve for x
    x = 73,995,095.04/13,022
  6. Step 6: Final answer
    x = 5,682.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.